Finite Element Method for Hemivariational Inequalities
Subtitle: Theory, Methods and Applications
By: by Jaroslav Haslinger, Markku Miettinen, Panagiotis D. Panagiotopoulos
Contributors: Miettinen, Markku; Panagiotopoulos, Panagiotis D.
Series: Nonconvex Optimization and Its Applications -- 35; Nonconvex optimization and its applications -- 35.
Publisher: Springer US
Published: 1999
Place of publication: Boston, MA
Language: eng
Format: [electronic resource] :
Number of pages: 260
ISBN-13: 9781441948151; 9781475752335
Subjects: Mechanics; Mathematics; Engineering mathematics
Description: Hemivariational inequalities represent an important class of problems in nonsmooth and nonconvex mechanics. By means of them, problems with nonmonotone, possibly multivalued, constitutive laws can be formulated, mathematically analyzed and finally numerically solved. The present book gives a rigorous analysis of finite element approximation for a class of hemivariational inequalities of elliptic and parabolic type. Finite element models are described and their convergence properties are established. Discretized models are numerically treated as nonconvex and nonsmooth optimization problems. The book includes a comprehensive description of typical representants of nonsmooth optimization methods. Basic knowledge of finite element mathematics, functional and nonsmooth analysis is needed. The book is self-contained, and all necessary results from these disciplines are summarized in the introductory chapter. Audience: Engineers and applied mathematicians at universities and working in industry. Also graduate-level students in advanced nonlinear computational mechanics, mathematics of finite elements and approximation theory. Chapter 1 includes the necessary prerequisite materials.
Notes: Online full text is restricted to subscribers.

Also available in print.

Mode of access: World Wide Web.